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- W1837156176 abstract "We define the epsilon-distortion complexity of a set as the shortest program, running on a universal Turing machine, which produces this set at the precision epsilon in the sense of Hausdorff distance. Then, we estimate the epsilon-distortion complexity of various central Cantor sets on the line generated by iterated function systems (IFS's). In particular, the epsilon-distortion complexity of a C^k Cantor set depends, in general, on k and on its box counting dimension, contrarily to Cantor sets generated by polynomial IFS or random affine Cantor sets." @default.
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- W1837156176 date "2007-05-07" @default.
- W1837156176 modified "2023-09-27" @default.
- W1837156176 title "Epsilon-Distortion Complexity for Cantor Sets" @default.
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